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Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.
Scale Basics
Periodic scale
MOS scales
Mathematics of MOS
MODMOS scales
Graph-theoretic properties of scales
Regular Temperaments
Basics:
Monzos and Interval Space
Vals and Tuning Space
Regular Temperaments
Saturation
Dual List
Meet and Join
Linear algebra:
Temperament Mapping Matrices (M-maps)
Tmonzos and Tvals
Subgroup Mapping Matrices (V-maps)
Smonzos and Svals
Generalized Tenney Norms and Tp Interval Space
Generalized Tenney Dual Norms and Tp Tuning Space
Exterior algebra:
Wedgies and Multivals
The wedgie
Recoverability
The dual
Interior product
Abstract algebra:
Groups, Lattices, Z-modules and Vector spaces
Temperament representations:
Abstract regular temperament
Normal lists
Gencom
Other:
Planar Temperament
Transversal generators
Temperament Measures and Optimization
Target tunings
TOP tuning
Tp tuning
Tenney-Euclidean tuning
Tenney-Euclidean temperament measures
Tenney-Euclidean metrics
Cangwu badness
Fractional monzos
Generator complexity
Lattices and Scales
Transversal
Fokker blocks
Weak Fokker Blocks
Minkowski reduced bases for Fokker groups of certain vals
Minkowski blocks
The Seven Limit Symmetrical Lattices
Tablets
Hahn distance
Comma-based lattices
Other
The Riemann Zeta Function and Tuning
Modulatory space
Chordal space
k*N subgroups
Logarithmic approximants
Don Page comma
ABC, High Quality Commas, and Epimericity
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Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.
Scale Basics
Periodic scaleMOS scales
Mathematics of MOS
MODMOS scales
Graph-theoretic properties of scales
Regular Temperaments
Basics:Monzos and Interval Space
Vals and Tuning Space
Regular Temperaments
Saturation
Dual List
Meet and Join
Linear algebra:
Temperament Mapping Matrices (M-maps)
Tmonzos and Tvals
Subgroup Mapping Matrices (V-maps)
Smonzos and Svals
Generalized Tenney Norms and Tp Interval Space
Generalized Tenney Dual Norms and Tp Tuning Space
Exterior algebra:
Wedgies and Multivals
The wedgie
Recoverability
The dual
Interior product
Abstract algebra:
Groups, Lattices, Z-modules and Vector spaces
Temperament representations:
Abstract regular temperament
Normal lists
Gencom
Other:
Planar Temperament
Transversal generators
Temperament Measures and Optimization
Target tuningsTOP tuning
Tp tuning
Tenney-Euclidean tuning
Tenney-Euclidean temperament measures
Tenney-Euclidean metrics
Cangwu badness
Fractional monzos
Generator complexity
Lattices and Scales
TransversalFokker blocks
Weak Fokker Blocks
Minkowski reduced bases for Fokker groups of certain vals
Minkowski blocks
The Seven Limit Symmetrical Lattices
Tablets
Hahn distance
Comma-based lattices
Other
The Riemann Zeta Function and TuningModulatory space
Chordal space
k*N subgroups
Logarithmic approximants
Don Page comma
ABC, High Quality Commas, and Epimericity